Practical Numerical Algorithms for Chaotic Systems, Thomas S. Parker; Leon Chua

Автор: Rafael Mart?nez-Guerra; Claudia A. P?rez-Pinacho;
Название: Synchronization of Integral and Fractional Order Chaotic Systems
ISBN: 3319152831 ISBN-13(EAN): 9783319152837
Издательство: Springer
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Описание: This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems.

Автор: Ivan Zelinka; Sergej Celikovsk?; Hendrik Richter;
Название: Evolutionary Algorithms and Chaotic Systems
ISBN: 3642262554 ISBN-13(EAN): 9783642262555
Издательство: Springer
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Описание: This book discusses the mutual intersection of two fields of research: evolutionary computation, which can handle tasks such as control of various chaotic systems, and deterministic chaos, which is investigated as a behavioral part of evolutionary algorithms.

Автор: Rafael Mart?nez-Guerra; Claudia A. P?rez-Pinacho;
Название: Synchronization of Integral and Fractional Order Chaotic Systems
ISBN: 3319386476 ISBN-13(EAN): 9783319386478
Издательство: Springer
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Описание: This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems.

Автор: Stephen Wiggins
Название: Chaotic Transport in Dynamical Systems
ISBN: 0387975225 ISBN-13(EAN): 9780387975221
Издательство: Springer
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Описание: Illustrating phase space transport problems arising in a variety of applications that can be modeled as time-periodic perturbations of planar Hamiltonian systems, the book begins with the study of transport in the associated two-dimensional Poincare Map.

Автор: Ahmad Taher Azar; Sundarapandian Vaidyanathan; Ade
Название: Fractional Order Control and Synchronization of Chaotic Systems
ISBN: 3319502484 ISBN-13(EAN): 9783319502489
Издательство: Springer
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Описание: Chapter 1 Comparative Study on Fractional Order PID and PID Controllers on Noise Suppression for Manipulator Trajectory Control.-Chapter 2 Control of the Temperature of a Finite Diffusive Interface Medium using the CRONE Controller.-Chapter 3 Grey Predictor Assisted Fuzzy and Fractional Order Fuzzy Control of a Moving Cart Inverted Pendulum.-Chapter 4 H Design with Fractional-Order PID Type Controllers.-Chapter 5 On the Electronic Realizations of Fractional-Order Phase-Lead-Lag Compensators with OpAmps and FPAAs.- Chapter 6 Robust Adaptive Supervisory Fractional Order Controller for Optimal Energy Management in Wind Turbine with Battery Storage.-Chapter 7 Robust Adaptive Interval Type-2 Fuzzy Synchronization for a Class of Fractional Order Chaotic Systems.- Chapter 8 Optimal Fractional Order Proportional-Integral-Differential Controller for Inverted Pendulum with Reduced Order Linear Quadratic Regulator.-Chapter 9 Towards a Robust Fractional Order PID Stabilizer for Electric Power Systems.-Chapter 10 Application of Fractional Order Controllers on Experimental and Simulation Model of Hydraulic Servo System.

Название: Advances and applications in chaotic systems
ISBN: 3319302787 ISBN-13(EAN): 9783319302782
Издательство: Springer
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Описание:

Synchronization Phenomena in Coupled Hyperchaotic Hidden Oscillators using a Nonlinear Open Loop Controller.- A Chaotic Hyperjerk System Based on Memristive Device.- A Novel Hyperjerk System with Two Cubic Nonlinearities and Its Adaptive Control.- A Novel Conservative Jerk Chaotic System with Two Cubic Nonlinearities and Its Backstepping Control.- Adaptive Backstepping Control, Synchronization and Circuit Simulation of a Novel Jerk Chaotic System with a Quartic Nonlinearity.- A Seven-Term Novel Jerk Chaotic System and Its Adaptive Control.- Adaptive Control and Circuit Simulation of a Novel 4-D Hyperchaotic System with Two Quadratic Nonlinearities.- Analysis, Adaptive Control and Synchronization of a Novel 3-D Highly Chaotic System.- Qualitative Analysis and Adaptive Control of a Novel 4-D Hyperchaotic System.- Global Chaos Control and Synchronization of a Novel Two-Scroll Chaotic System with Three Quadratic Nonlinearities.- A Novel 3-D Circulant Chaotic System with Labyrinth Chaos and Its Adaptive Control.- A 3-D Novel Jerk Chaotic System and Its Application in Secure Communication System and Navigation Mobile Robot.- On the Verification for Realizing Multi-Scroll Chaotic Attractors with High Maximum Lyapunov Exponents and Entropy.- Chaotic Synchronization of CNNs in Small-World Topology Applied to Data Encryption.- Fuzzy Adaptive Synchronization of Incommensurate Fractional-Order Chaotic Systems.- Implementing of a Laboratory-Based Educational Tool for Teaching Nonlinear Circuits and Chaos.- Control of Shimizu-Morioka Chaotic System with Passive Control, Sliding Mode Control and Backstepping Design Methods: A Comparative Analysis.- Generalized Projective Synchronization of a Novel Chaotic System with a Quartic Nonlinearity via Adaptive Control.- A Novel 4-D Hyperchaotic Chemical Reactor System and its Adaptive Control.- A Novel 5-D Hyperchaotic System with a Line of Equilibrium Points and its Adaptive Control.-Analysis, Control and Circuit Simulation of a Novel 3-D Finance Chaotic System.- A Novel Highly Hyperchaotic System and its Adaptive Control.- Sliding Mode Controller Design for the Global Stabilization of Chaotic Systems and Its Application to Vaidyanathan Jerk System.- Adaptive Control and Synchronization of a Rod-Type Plasma Torch Chaotic System via Backstepping Control Method.- Analysis, Adaptive Control and Synchronization of a Novel 3-D Chaotic System with a Quartic Nonlinearity.

Автор: Elhadj Zeraoulia Et Al
Название: Frontiers In The Study Of Chaotic Dynamical Systems With Open Problems
ISBN: 9814340693 ISBN-13(EAN): 9789814340694
Издательство: World Scientific Publishing
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Описание: A collection of review articles that deals with the developments in the study of chaotic dynamical systems with some open problems and challenges. It presents a variety of topics of interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems.

Автор: Mark Edelman; Elbert Macau; Miguel A. F. Sanjuan
Название: Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives
ISBN: 3319681087 ISBN-13(EAN): 9783319681085
Издательство: Springer
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Описание:

The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics.

The fifteen chapters - written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks - offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering.

As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.

Автор: Bhimsen K. Shivamoggi
Название: Nonlinear Dynamics and Chaotic Phenomena: An Introduction
ISBN: 9400770936 ISBN-13(EAN): 9789400770935
Издательство: Springer
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Описание: This book clearly details the basic concepts, language and results of nonlinear dynamical systems. It serves as an ideal reference to first-year graduate students and theoretically inclined researchers in the physical sciences and engineering.

Автор: Stephen Wiggins
Название: Chaotic Transport in Dynamical Systems
ISBN: 1441930965 ISBN-13(EAN): 9781441930965
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Illustrating phase space transport problems arising in a variety of applications that can be modeled as time-periodic perturbations of planar Hamiltonian systems, the book begins with the study of transport in the associated two-dimensional Poincare Map.

Автор: Lichtenberg, Allan, Lieberman, Michael
Название: Regular and Chaotic Dynamics
ISBN: 0387977457 ISBN-13(EAN): 9780387977454
Издательство: Springer
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Описание: This book treats nonlinear dynamics in both Hamiltonian and dissipative systems. The emphasis is on the mechanics for generating chaotic motion, methods of calculating the transitions from regular to chaotic motion, and the dynamical and statistical properties of the dynamics when it is chaotic.

Автор: Sergio Elaskar; Ezequiel del R?o
Название: New Advances on Chaotic Intermittency and its Applications
ISBN: 3319478362 ISBN-13(EAN): 9783319478364
Издательство: Springer
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Описание: One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data.As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittency type, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work.This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the Fokker-Plank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincar? map.Finally, in Chapter 9, a new scheme to evaluate the RPD function using the Perron-Frobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.